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Finding the Fourth Proportional to 12,617.83, 17,385.06 and 8,418.79

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Solution

The fourth proportional to 12,617.83, 17,385.06 and 8,418.79 is: 11,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.83 : 17,385.06 = 8,418.79 : x
  2. Step 2: Convert to fraction form
    12,617.83/17,385.06 = 8,418.79/x
  3. Step 3: Cross multiply
    12,617.83x = 17,385.06 × 8,418.79
  4. Step 4: Simplify right side
    12,617.83x = 146,361,169.28
  5. Step 5: Solve for x
    x = 146,361,169.28/12,617.83
  6. Step 6: Final answer
    x = 11,599.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.